Name
Title | ||
|---|---|---|
Viral Blips May Not Need a Trigger: How Transient Viremia Can Arise in Deterministic In-HostModels |
Abstract | ||
|---|---|---|
AbstractRecurrent infection is characterized by short episodes of high viral reproduction, separated by longperiods of relative quiescence. This recurrent pattern is observed in many persistent infections,including the “viral blips” observed during chronic infection with the human immunodeficiency virus(HIV). Although in-host models which incorporate forcing functions or stochastic elements have beenshown to display viral blips, simple deterministic models also exhibit this phenomenon. We describean analytical study of a 4-dimensional HIV antioxidant-therapy model which exhibits viral blips,showing that an increasing, saturating infectivity function contributes to the recurrent behavior ofthe model. Using dynamical systems theory, we hypothesize four conditions for the existence ofviral blips in a deterministic in-host infection model. In particular, we explain how the blips aregenerated, which is not due to homoclinic bifurcation since no homoclinic orbits exist. Theseconditions allow us to develop very simple (2- and 3-dimensional) infection models which produceviral blips, and we determine the complete parameter range for the 3-dimensional model in whichblips are possible, using stability analysis. We also use these conditions to demonstrate thatlow-dimensional in-host models with linear or constant infectivity functions cannot generate viralblips. Finally, we demonstrate that a 5-dimensional immunological model satisfies the conditions andexhibits recurrent infection even with constant infectivity; thus, an increasing, saturatinginfectivity function is not necessary if the model is sufficiently complex. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1137/130937421 | Periodicals |
Keywords | Field | DocType |
recurrent infection,HIV viral blips,bifurcation theory,dynamical system | Viremia,Homoclinic bifurcation,Neuroscience,Homoclinic orbit,Mathematical analysis,Control theory,Viral replication,Mathematics | Journal |
Volume | Issue | ISSN |
56 | 1 | 0036-1445 |
Citations | PageRank | References |
4 | 0.48 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wenjing Zhang | 1 | 8 | 2.82 |
| Lindi M. Wahl | 2 | 35 | 4.32 |
| Pei Yu | 3 | 190 | 38.43 |